Least Common Multiple (LCM) of 185 and 98
The least common multiple (LCM) of 185 and 98 is 18130.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 185 and 98?
First, calculate the GCD of 185 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 98 = 1 remainder 87 |
| 2 | 98 ÷ 87 = 1 remainder 11 |
| 3 | 87 ÷ 11 = 7 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 72 | 4392 |
| 136 and 20 | 680 |
| 125 and 17 | 2125 |
| 187 and 77 | 1309 |
| 46 and 36 | 828 |